Rewrite in simplest form 4(-6g-10h)+3h-4(-3h-10g)

Answer:

the 3rd

Step-by-step explanation:

Answer:

5x + 5

Step-by-step explanation:

   2( x + 4 ) + ( 3x - 3 )

=  2x + 8 + 3x - 3

= 5x + 5

The height of the parallelogram with an area of 10½ is derived to be 14 inches

In calculating for the area of parallelogram, the base is multiplied by the height, as the same way for calculating the area of a rectangle.

Given the area of the parallelogram to be 10½, and its base is 3/4 then we can calculate for its height as follows:

10½ = 3/4 × height

21/2 = 3/4 × height

by cross multiplication;

height of the parallelogram = 21/3 × 4/2

height of the parallelogram = 7 × 2

height of the parallelogram = 14 inches

Therefore, the height of the parallelogram with an area of 10½ and base 3/4 is derived to be 14 inches

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1.2 seconds  it take the sunglasses to hit the ground

To find how long it takes for the sunglasses to hit the ground, we need to find the value of x when h = 0.

We can set the function equal to 0 and solve for x:

-16x² + 24 = 0

Dividing both sides by -16 gives:

x² - (24/-16) = 0

x² - 1.5 = 0

x² = 1.5

x = ±√1.5

x = √1.5 seconds for the sunglasses to hit the ground.

we get x = 1.2 seconds.

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1) the resulting points or figure from the given cordinates is a compound   shape comprising of two rectangles. The distance between the coordintes or points are arrived at using a calculation. See graph and sample calculations below.

2) the are of the compound shape is 104 units.

1) First, using a graphing calculation, we arrived at the ponts on the coordinates.  See the attached image for all the labelled coordinagtes.

2) Then we joined all coordinteas or points.

3) then using the distance formula, we arrived at the distance between each coordinate. See sample of the first calculation that was done:

To compte the distance between: A (−6, 6) and B( 6,6) we use the following formula:

d = √ ((x2 - x1) ²   + (y2 - y 1)²)
Thus,  we have


d=√(6−(−6))²+(6−6)²)

d = √[(12²) + (0²)

d = √144

d = 12

We repeated this for all the sides or coordinate pairs.


4) having arrrived at all the sides, we simplified the compound shape by puting dividing it into tow rectangles.

As you know the formula for the Area of a Rectangle is:

lxw

Sor for the Bigger rectangle Rb we have

L = 12
W = 7
Thus,

Ab = 12 x 7 = 84

For the Smaller rectangle Rs, we have:

As = 4 x 5
As = 20

Since the compound shape = Rb + Rs
Asb = 84 + 20

Area of the resulting  Figure thus, is 104 units.

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Answer:

1.)21 2.)9

Step-by-step explanation:

You replace each with the number given so in the first one you do 3+6*3 to get 21 and in the second one you do (4-1)^2 or 3^2 or 9

Answer:

21,9

Step-by-step explanation:

The answer is the graph that shows a shaded region between x=-5 and x=-1.

Based on the given inequality, lx+3l - 2 <= 0, we need to find the value of x that satisfies this inequality. The solution can be found by first simplifying the absolute value expression, which gives two cases: x+3-2<=0 and -(x+3)-2<=0.

Solving each of these cases separately, we get x<=-1 and x>=-5, respectively. To find the entire solution set of the inequality, we need to take the intersection of these two solution sets, which gives x in [-5,-1].

Out of the given graphs, the only one that represents the solution set of the inequality is the graph that shows a shaded region between x=-5 and x=-1 on the number line. This graph represents the values of x that satisfy the inequality, which is x in [-5,-1].

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Geometry escape challenges can be a fun way to develop problem-solving skills and deepen one's understanding of geometric principles. With practice and persistence, anyone can improve their geometry skills and become better equipped to tackle more complex challenges.

Geometry is a branch of mathematics that deals with the study of shapes, sizes, relative positions of objects, and the properties of space. It has applications in various fields like engineering, art, architecture, and science.

To solve geometry problems, one needs to have a solid understanding of geometric principles and formulas and develop problem-solving skills that enable them to visualize and manipulate 2D and 3D objects.

Escape challenges are games designed to test one's logical thinking and puzzle-solving abilities. In the context of geometry, an escape challenge may involve finding solutions to problems or uncovering hidden clues that help players move through various levels of the game.

To succeed in escape challenges, one needs to be observant, analytical, and creative. Some common strategies for tackling geometry escape challenges include breaking down complex problems into smaller components, using visual aids to help visualize concepts, and testing multiple solutions until the correct one is found.

In conclusion, geometry escape challenges can be a fun way to develop problem-solving skills and deepen one's understanding of geometric principles. With practice and persistence, anyone can improve their geometry skills and become better equipped to tackle more complex challenges.

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Answer:

(0, 10 )

Step-by-step explanation:

5 units up means add 5 to the y- coordinate

3 units left means subtract 3 from the x- coordinate

Translation rule is

(x, y ) → (x - 3, y + 5 ) , thus

(3, 5 ) → (3 - 3, 5 + 5 ) → (0, 10 )

21 is the right answer.

Mark me the brainliest

Answer:

22 degrees

Step-by-step explanation:

90-68=22

Answer:

y=C-Ax÷B

Step-by-step explanation:

Ax+By=C

-Ax -Ax

By= C-Ax

—————

B

y=C-Ax

——–

B

To find the surface area of the figure, we need to consider the individual surfaces and add them together.

First, let's identify the surfaces of the figure:

The lateral surface area of the larger prism (excluding the base)

The two bases of the larger prism

The lateral surface area of the smaller prism (excluding the base)

The two bases of the smaller prism

The lateral surface area of a prism is given by the formula: perimeter of the base multiplied by the height.

The bases of the prisms are rectangles, so their areas can be calculated by multiplying the length by the width.

To find the missing prism's surface area, we need to consider that it is a smaller prism nested inside the larger prism. The lateral surface area and bases of the missing prism should also be included.

Once we have calculated the individual surface areas, we add them together to find the total surface area of the figure.

Without specific measurements or dimensions of the figure, it is not possible to provide a numerical answer. Please provide the necessary measurements or dimensions to calculate the surface area.

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Answer:

292 and 2092

Step-by-step explanation:

Surface area:

Wall 1: 40 x 3 = 120m^2

Wall2: 40 x 3 = 120m^2

Wall 3: 15 x 3 = 45m^2

Wall 4: 15 x 3 = 45m^2

Ceiling: 15 x 40 = 600m^2

Total : 240 + 600 + 90 = 730

So, cost of painting = 730/25 x 10 = 29.2 x 10 = 292

Total: 292 + 1800 = 2092

The total cost of paint would be 2092 dollars.

The area of the cuboid is the sum of product of the length, breadth of the given prism.

Surface area:

Wall 1: 40 x 3 = 120m^2

Wall2: 40 x 3 = 120m^2

Wall 3: 15 x 3 = 45m^2

Wall 4: 15 x 3 = 45m^2

Ceiling: 15 x 40 = 600m^2

The Total area: 240 + 600 + 90 = 730

So, The cost of painting = 730/25 x 10

= 29.2 x 10

= 292

Total: 292 + 1800 = 2092

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At x = 3, we don't have enough information to find f(3^2) or f'(3^2), so we cannot evaluate the expression for dy/dx at x = 3.

We can use the chain rule to find the derivative of y = sin(f(x^2)) with respect to x:

dy/dx = cos(f(x^2)) * d/dx[f(x^2)]

To find d/dx[f(x^2)], we can use the chain rule again:

d/dx[f(x^2)] = f'(x^2) * d/dx[x^2] = 2xf'(x^2)

So, putting it all together:

dy/dx = cos(f(x^2)) * 2xf'(x^2)

At x = 3, we don't have enough information to find f(3^2) or f'(3^2), so we cannot evaluate the expression for dy/dx at x = 3.

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Step-by-step explanation:

3.5x pi=38.48

38.48^2=1,480.7104

38.48x8.2=315.536

315.536+1,480.7104=

1,796.2464cm^2

We have that, using the Chinese remainder theorem, the number of things is 23

There are certain things whose number is unknown. When divided by 3, the remainder is 2; when divided by 5, the remainder is 3; when dividing by 7, the remainder is 2. To solve this problem, we will have to use the Chinese Remainder Theorem.

It establishes that: Let m1, m2, …, mk be coprime integers greater than 1, and let a1, a2, …, ak be any integers. So, the system of simultaneous congruences:

x ≡ a1 (mod m1)x ≡ a2 (mod m2)…x ≡ ak (mod mk)

It has a unique solution modulo M = m1m2…mk.

The Chinese Remainder Theorem implies that there is only one solution of the system of three congruences such that 0 ≤ x < 3 x 5 x 7 = 105. Using the Chinese Remainder Theorem, we obtain that x ≡ 23 (mod 105). Therefore, the number of things is 23.

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The area of the illuminated region, which is the area of the right triangle with leg lengths 8 meters and 6 meters is 24 square meters

A right triangle is a triangle that has a 90 degrees interior angle.

The area of a triangle, A = Half the base length × The height of the triangle

The triangle in the question is a right triangle, with the following dimensions;

Leg lengths of the right triangle are; 8 m and 6 m

The altitude or height of a right triangle is equivalent to one of the leg lengths, while the base length is the other leg length, therefore;

Area of the triangle in the diagram, A = (1/2) × 8 m × 6 m = 24 m²

The area of the illuminated = The area of the right triangle = 24 m²

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To determine the explicit rule for the nth term of the given geometric sequence 5, 20, 80, 320, 1,280, ..., use the formula:`an = a1 * r^(n - 1)`, where an represents the nth term of the sequence.`a1`represents the first term of the sequence.`r` represents the common ratio between terms of the sequence.

The given sequence is 5, 20, 80, 320, 1,280, ...Let's now apply the formula to find the explicit rule for the nth term of the given sequence.`an = a1 * r^(n - 1)`Where a1 = 5 (first term of the sequence)`r` can be found by dividing any term by the preceding term, as `r = (second term) / (first term)`In this case,`r = (20) / (5) = 4`

Substituting the values in the formula:`an = a1 * r^(n - 1)``an = 5 * 4^(n - 1)` Therefore, the explicit rule for the nth term of the given geometric sequence is `an = 5 * 4^(n - 1)`.You can use this formula to find the value of any term in the sequence, given its position (n) in the sequence.For example, to find the 150th term of the sequence, substitute n = 150 in the formula: `a150 = 5 * 4^(150 - 1)`. This simplifies to `a150 = 1.442 x 10^90`.

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Answer:

Perimeter of square = 24 meter

Step-by-step explanation:

Given:

Square divided into three equal rectangle

Perimeter of rectangle = 16 meter

Find:

Perimeter of square

Computation:

We know that rectangle are equal

So,

3b = l

Perimeter of rectangle = 2 (l + b)

16 = 2 (l + b)

16 = 2 (3b + b)

b = 2 meter

l = 3 (2) = 6 meter

Side of square = 6 meter

Perimeter of square = 4(side)

Perimeter of square = 4(6)

Perimeter of square = 24 meter

Answer:

4 dimes, 12 nickels

Step-by-step explanation:

nickels are worth 5 cents,

12x5=60

$1 is worth 100 cents

100-60 is 40

dimes are worth 10 cents

40 / 10 is 4

so 4 dimes

The number of dimes = 8 dimes

The number of nickels = 4 nickels

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of nickels be = x

Let the number of dimes be = y

Now , the total number of coins = 12

So , the equation will be

x + y = 12   be equation (1)

Now , the total value of coins = $ 1

The value of 1 dime = $ 0.10

The value of 1 nickel = $ 0.05

So , the equation will be 0.05x + 0.10y = 1   be equation (2)

Multiply equation (2) by 100 , we get

5x + 10y = 100   be equation (3)

Multiply equation (1) by 5 , we get

5x + 5y = 60   be equation (4)

Subtracting equation (4) from equation (3) , we get

5y = 40

Divide by 5 on both sides of the equation , we get

y = 8

Therefore , the value of y = 8

Substitute the value of y in equation (1) , we get

x + y = 12

x + 8 = 12

Subtracting 8 on both sides of the equation , we get

x = 4

Therefore , the value of x is 4 and value of y is 8

Hence , The number of dimes = 8 dimes

The number of nickels = 4 nickels

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It is true that the slope of the horizontal tangent line to the parametric curve at a point (x(t), y(t)) is given by dy/dx = (dy/dt)/(dx/dt).

The statement is saying that if f(g(t)) has a horizontal tangent at t = 1, then the curve has a well-defined tangent line at that point, which is also a horizontal tangent. Let's break this down step by step:

f(g'(1)) = 0: This means that the derivative of f with respect to its input g(t) is equal to zero at t = 1. In other words, the slope of the tangent line of f(g(t)) at t = 1 is zero.

dx/dt is not zero at t = 1: This means that the curve g(t) has a well-defined tangent line at t = 1, because the slope of the tangent line of g(t) is not infinite (i.e., the derivative dx/dt is defined and finite).

Setting dy/dx = 0 gives dy/dt / dx/dt = 0: This is using the chain rule of differentiation to relate the derivative of f with respect to t (i.e., dy/dt) to the derivative of f with respect to x (i.e., dy/dx) and the derivative of g with respect to t (i.e., dx/dt).

dy/dt = 0 when dx/dt is not zero: Since dy/dx = 0 and dx/dt is not zero, we can conclude that dy/dt must also be zero at t = 1. This means that the slope of the tangent line of f(g(t)) is also zero at t = 1.

Therefore, the curve has a horizontal tangent at t = 1: Since both g(t) and f(g(t)) have horizontal tangents at t = 1, we can conclude that the curve f(x) also has a horizontal tangent at x = g(1). This means that the tangent line to the curve at that point is horizontal.

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Answer: x= 95° ;  y= 35°

Step-by-step explanation:

If J II K (symmetrical), then x°= 180°- 85°

                                            x°= 95°

In addition to this, because the J II K lines are symmetrical:

                               (5y-90)°= 85°

                              5y°- 90° = 85°

                                       5y°= 85°+ 90°

                                      5y° = 175°

                                  5y°/ 5 = 175°/5

                                          y°= 35°

The original statement is same as third statment and value of y is 27.

Writing the equation form for each statement -

Let the variable be represented as y.

1/3(30 - y) = 3/4

1/3×30 - y = 3/4

1/3×y - 30 = 3/4

1/3(30 - y) = 3/4

1/3(y - 30) = 3/4

Based on the interpretation of all the sentences in equation form, we find the statement 3 to be same as original statement. Solving the equation to get the value of y.

1/3(30 - y) = 3/4

10 - y/3 = 3/4

10 = 3/4 + y/3

10 = (3×4 + y×4)/12

10×12 = 12 + 4y

4y + 12 = 120

4y = 120 - 12

4y = 108

y = 27

Hence, the value of y is 27.

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Answer:

the answer is A.

1 over 3 (30 - y) = 3 over 4

Answer:

\(\Large \boxed{\mathrm{\bold{D.}} \ f(x) = | 2x^2 + x | \ \mathrm{and} \ g(x) = (x + 1)}\)

Step-by-step explanation:

\(f(g(x)) = | 2(x + 1)^2 + (x + 1) |\)

The first option :

\(f(x) = (x + 1)^2 \ \mathrm{and} \ g(x) = | 2x + 1 |\)

\(f(g(x))=(|2x+1|+1)^2\)

The second option :

\(f(x) = (x + 1) \ \mathrm{and} \ g(x) = | 2x^2 + x |\)

\(f(g(x))=(|2x^2 +x|+1)\)

The third option :

\(f(x) = | 2x + 1 | \ \mathrm{and} \ g(x) = (x + 1)^2\)

\(f(g(x))=|2(x+1)^2 +1 |\)

The fourth option :

\(f(x) = | 2x^2 + x | \ \mathrm{and} \ g(x) = (x + 1)\)

\(f(g(x))= | 2(x + 1)^2 + (x + 1) |\)

Answer:

D

Step-by-step explanation:

Answer: y=1/4x+4

Step-by-step explanation:

Parallel means the new equation will have the same slope.

y= 1/4x+b

We don't know the b value yet but we can plug in coordinates to solve. We can use the one provided since it has to be a value of this equation.

1= 1/4(-12)+b

1= -3+b

b= 4

y=1/4x+4

The cheapest price for ten (10) rolls would be = £25.50. That is option B.

The wallpapers are those designed paper materials that are used in decoration of a room.

The total number of wall paper that Salima needs to buy= 10 rolls.

A single roll of wallpaper = £9.20

A pack of 3 rolls= £25:50

That is 1 roll = X

make X the subject of formula;

£x = 25.50/3

£x = £8.5

A pack of 5 rolls = £43.05

That is 1 roll = X

make X the subject of formula;

£x = 43.05/3

£x = 14.35

Therefore, the cheapest price that can be used to buy 10 rolls would be = £25.50 because one roll would be = £8.5.

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Answer:

Pack of 3 rolls (total of £85.70

Step-by-step explanation:

25.5+25.5+25.5+9.20= £85.70

Answer: -4 is the least

Step-by-step explanation:

The right choice is Choice D: Lines AC and RS are skew lines. Skew lines are two lines that never cross and are not equal moreover.

A line is characterized as a bunch of focuses that broaden endlessly in one or the other heading. A line is the briefest distance between any two focuses.

What are skew lines?

Skew lines are two lines that never cross and are not equal moreover. Thus we can say that the two lines can not exist in a similar plane.

From the figure obviously

Line AC and RS are in various planes and they are likewise not crossing one another, subsequently, as per the meaning of skew lines, they are skew lines.

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the complete question is:

Lines AC and RS are:

Coplanar

Parallel

Perpendicular

Skew